Consider the piston–cylinder assembly containing 0.20 kg of pure water, as shown in the following fi gure. The cross-sectional area of the piston is 0.50 m2, and its initial height is 0.7172 m above the base of the cylinder. The initial pressure is 1.0 bar. A spring with a linear spring constant,

is attached to the piston. Initially the spring exerts no force on the very thin piston. A block of mass m = 20,408 kg, is then placed on the piston, causing the gas to compress, until the forces again balance. During the compression process, 6.17 * 105 3J/kg4 of work is done on the system.

(a) Precisely draw the process on a Pext-v diagram. Draw the area that represents the work.
(b) How much heat, in J/kg, is transferred during the process?

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k = 1.62 X 105 N m